Frigyes Riesz
Hungarian mathematician who made fundamental contributions to functional analysis
About Frigyes Riesz
Lived 1880 – 1956 (aged 76). Frigyes Riesz was a Hungarian mathematician and university teacher, known for Denjoy–Riesz theorem, Ergodic theory and F. Riesz's theorem.
Frigyes Riesz (, , sometimes known in English and French as Frederic Riesz; 22 January 1880 – 28 February 1956) was a Hungarian mathematician who made fundamental contributions to functional analysis, as did his younger brother Marcel Riesz.
Life and career He was born into a Jewish family in Győr, Austria-Hungary and died in Budapest, Hungary. Between 1911 and 1919 he was a professor at the Franz Joseph University in Kolozsvár, Austria-Hungary. The post-WW1 Treaty of Trianon transferred former Austro-Hungarian territory including Kolozsvár to the Kingdom of Romania, whereupon Kolozsvár's name changed to Cluj and the University of Kolozsvár moved to Szeged, Hungary, becoming the University of Szeged. and the Polish Academy of Learning. He was the older brother of the mathematician Marcel Riesz.
Riesz did some of the fundamental work in developing functional analysis and his work has had a number of important applications in physics. He established the spectral theory for bounded symmetric operators in a form very much like that now regarded as standard. and he gave an elementary proof of the mean ergodic theorem.
Together with Alfréd Haar, Riesz founded the Acta Scientiarum Mathematicarum journal.
He had an uncommon method of giving lectures: he entered the lecture hall with an assistant and a docent. The docent then began reading the proper passages from Riesz's handbook and the assistant wrote the appropriate equations on the blackboard—while Riesz himself stood aside, nodding occasionally.
The Swiss-American mathematician Edgar Lorch spent 1934 in Szeged working under Riesz and wrote a reminiscence about his time there, including his collaboration with Riesz.
The corpus of his bibliography was compiled by the mathematician Pál Medgyessy.
Publications
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Important facts
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Integral equation, Lp space, Positive harmonic function, Proximity space, Radon–Riesz property, Riesz projector, Riesz rearrangement inequality, Riesz representation theorem, Riesz space, Riesz's lemma, Riesz–Fischer theorem, Riesz–Markov–Kakutani representation theorem, Weak topologyPeople in Frigyes Riesz's life
Named in this biography and alive at the same time
Contemporaries
People whose lives overlapped Frigyes Riesz's
Frequently asked questions
Who was Frigyes Riesz?
Hungarian mathematician who made fundamental contributions to functional analysis (1880–1956)
When was Frigyes Riesz born?
Frigyes Riesz was born on 22 January 1880 in Győr.
When did Frigyes Riesz die?
Frigyes Riesz died on 28 February 1956 in Budapest.
What was Frigyes Riesz's occupation?
Frigyes Riesz was a mathematician and university teacher.
What was Frigyes Riesz known for?
Frigyes Riesz was known for Denjoy–Riesz theorem, Ergodic theory, F. Riesz's theorem, F. and M. Riesz theorem, Functional analysis and Hardy space.
What nationality was Frigyes Riesz?
Frigyes Riesz was Hungarian.
Sources & further reading
Cite this page
APA: Biography.guide. (2026). Frigyes Riesz. https://biography.guide/frigyes-riesz/
MLA: "Frigyes Riesz." Biography.guide, https://biography.guide/frigyes-riesz/.
Chicago: "Frigyes Riesz." Biography.guide. https://biography.guide/frigyes-riesz/.
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